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Thermal analysis of Maxwell fluid model in stagnation point flow near a solar radiation

Mair KhanDepartment of Mathematics, UCZ, BUITEMS, Zhob, 85200, PakistanT. SalahudinDepartment of Mathematics, Mirpur University of Science and Technology, Mirpur, 10250, PakistanMuhammad AwaisDepartment of Mathematics, Mirpur University of Science and Technology, Mirpur, 10250, PakistanJuma BakirovDepartment of Preschool and Primary Education, Termez University of Economics and Service, Termez, UzbekistanBobur MirzayevDepartment of Finance, Alfraganus University, Tashkent, UzbekistanM. AfzalDepartment of Mathematics and Natural Sciences, Gulf University for Science and Technology, Kuwait, Mubarak Al-Abdullah Area/West Mishref, Kuwait
2026en
ABI

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In this paper, we analyze the numerical and theoretical study of stagnation point flow of viscoelastic fluid near a heated surface. Our theoretical study depends on thermo-physical properties of temperature and concentration are also considered. The impact of solar radiation effect is also considered in the heat equation. The interaction of elastic fluid behavior, thermal radiation, and heat transport processes on a heated surface has a substantial impact on momentum and thermal boundary layer properties, especially in high-temperature industrial and energy systems. This study is innovative in that it effectively investigates viscoelastic boundary layer stagnation point flow while taking into consideration the variations in thermo-physical properties and the impacts of solar radiation within the same mathematical framework. The current research offers a thorough numerical evaluation of their associated influence on momentum and heat transfer characteristics, in contrast to previous studies that examine these effects independently. The governing nonlinear partial differential equations that reflect momentum, mass, and energy conservation are translated into ordinary differential equations using similarity transformations and numerically solved using appropriate computing techniques. We correctly reformulate the boundary values problem and solve the governing equations using a RK-five integration alongside the Newton-Raphson method. We determine stress boundary conditions to solve the problem by analyzing the decay of the far field solutions. The thermo-physical properties of the appearing parameters on the base-flow temperature and concentration profiles are discussed through figures. The results show that solar energy increases the fluid temperature and thermal boundary layer thickness, whereas viscoelastic effects drop flow shape and wall shear stress. The variable thermal diffusivity and conductivity are the sources of the increment in concentration and energy distributions. The findings of this study are significant for improving energy efficiency and thermal management in engineering applications such as polymer extrusion processes, solar thermal collectors, heat exchangers, stretching surface cooling, electronic cooling devices, aerodynamic heating systems, and renewable energy technologies.

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